Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Differential Equations

NDA 2017 · Mathematics · Differential Equations

What are the degree and order respectively of the differential...

What are the degree and order respectively of the differential equation y=xy=x\left(\frac{d y}{d x}\right)^2+(dxdy)2\left(\frac{d x}{d y}\right)^2 ?

Options

  1. A1,2
  2. B2,1
  3. C1,4
  4. D4,1

Correct answer

D. 4,1

Step-by-step solution

y=x(dydx)2+(dxdy)2=x(dydx)2+(dydx)−2⇒y(dydx)2=x⋅(dydx)4+1\begin{aligned} & y=x\left(\frac{d y}{d x}\right)^2+\left(\frac{d x}{d y}\right)^2 \\ & =x\left(\frac{d y}{d x}\right)^2+\left(\frac{d y}{d x}\right)^{-2} \\ & \Rightarrow y\left(\frac{d y}{d x}\right)^2=x \cdot\left(\frac{d y}{d x}\right)^4+1 \end{aligned} So, degree =4=4, order =1=1
Practice Differential Equations on Quantrex Academy →

More from Differential Equations

Passage: Consider the differential equation e^ x+y (dy)/(dx)=e^ x-y . Question: What is… NDA 2026What is the solution of the differential equation ((dy)/(dx))=p when y(0)=q ? NDA 2026Passage: Consider the differential equation e^ x+y (dy)/(dx)=e^ x-y . Question: What is… NDA 2026What is the degree of the differential equation ((d^2y)/(dx^2))^ (3)/(2) = ((dy)/(dx))^… NDA 2025If k is an arbitrary constant, then what is the general solution of the equation (x +… NDA 2025Consider the following statements:I. y = xe^ 2x is the solution of (dy)/(dx) = y (2 +… NDA 2025What are the order and degree respectively of the differential equation \ 2-((d y)/(d… NDA 2024Paragraph: Let y d x+(x-y^3) d y=0 be a differential equation. Question: What is the… NDA 2024The differential equation, representing the curve y=e^x(a x+b x) where a and b are… NDA 2024Paragraph: Let y d x+(x-y^3) d y=0 be a differential equation. Question: What are the… NDA 2024If (d y)/(d x)=2 e^x y^3, y(0)=(1)/(2) then what is 4 y^2 (2-e^x) equal to? NDA 2024Let y_1(x) and y_2(x) be two solutions of the differential equation (d y)/(d x)=x . If… NDA 2024A parabola pases through (1,2) and satisfies the differential equation (d y)/(d x)=(2… NDA 2023A parabola pases through (1,2) and satisfies the differential equation (d y)/(d x)=(2… NDA 2023What are the order and the degree respectively of the differential equation x^2((d^3… NDA 2023What is the differential equation of all parabolas of the type y^2=4 a(x-b) ? NDA 2023 Full Differential Equations list Differential Equations JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs